Question

20 men can construct a building in 18 days. How long will it take 30 men to complete the same work?

Answer 1

$\huge\bold{\mathtt{Question⇒}}$

20 men can construct a building in 18 days. How long will 30 men take to complete the same work?

$\huge\bold{\mathtt{Given⇒}}$

• 20 men can construct a building in 18 days.

$\huge\bold{\mathtt{To\:find⇒}}$

How long will 30 men take to complete the same work?

$\huge\bold{\mathtt{Solution⇒}}$

Time taken by 20 men

= 18 days.

Time taken by 1 man

= (20×18) days

= 360 days

Time taken by 20 men

= $(\frac{360}{30})$ days

= $(\frac{36\cancel{0}}{3\cancel{0}})$ days

= $(\frac{36}{3})$ days

= 12 days $\large\red{\:\:\:★}$

$\huge\bold{\mathtt{Hence⇒}}$

Time taken by 20 men = 12 days

$\huge\bold{\mathtt{Therefore⇒}}$

30 men will take 12 days to complete the work.

$\huge\bold{\mathtt{Done}}$

$\large\bold{\mathtt{Hope\:this\:helps\:you.}}$

$\large\bold{\mathtt{Have\:a\:nice\:day.}}$